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Let x be the number showing on a fair six-sided die the

Let X be the number showing on a fair six-sided die. The distribution of X has mean 3.5 and standard deviation 1.71.

If a six-sided die is rolled 30 times, what is the probability that the average of all 30 rolls is greater than 3? What is the probability that the average of all 30 rolls is less than 3?

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